## Elementary Algebra

Published by Cengage Learning

# Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Problem Set 9.2 - Page 406: 33

#### Answer

$x\sqrt{2y}$

#### Work Step by Step

RECALL: For any non-negative real number, $\sqrt{a^2} = a$ Factor the radicand (which is the expression inside the radical sign) so that at least one factor is a square, and then simplify using the rule above to obtain: $=\sqrt{x^2(2y)} \\=x\sqrt{2y}$

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